Common fixed point results of generalized almost rational contraction mappings with an application

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Hussain, Nawab
Isik, Huseyin
Abbas, Mujahid

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International Scientific Research Publications

Abstract

In this paper, we introduce the notion of generalized almost rational contraction with respect to a pair of self mappings on a complete metric space. Several common xed point results for such mappings are proved. Our results extend and unify various results in the existing literature. An example and application to obtain the existence of a common solution of the system of functional equations arising in dynamic programming are also given in order to illustrate the e ectiveness of the presented results.

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Keywords

Point of coincidence, Common fixed point, Cyclic admissible mappings, Almost contractions, Weakly compatible mappings, Functional equations

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Hussain, N, Isik, H & Abbas, M 2016, 'Common fixed point results of generalized almost rational contraction mappings with an application', The Journal of Nonlinear Sciences and its Applications, vol. 9, no. 5, pp. 2273-2288.